Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände

Abstract

Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization of a proposition of Muller dealing with approximation in Banach function spaces.

Keywords

• Korovkin-type theorem
• approximation of lattice homomorphisms
• positive linear operators
• Banach function spaces.